Melissa will participate in a charity walkathon. Her mother will donate $10 for Melissa’s participation plus an additional $2 for each mile that Melissa walks.
If Melissa walks 15 miles, what will be the amount of her mother’s donation?
Write an equation for P, the amount in dollars, of Melissa’s mother’s donation as a function of M, the number of miles Melissa walks.
If the donation is $44 , how many miles did Melissa walk?
Melissa wants her mother to donate no more than $65. What is the greatest number of miles she can walk?
Answers
Answer:
$40
Step-by-step explanation:
1 mile = $2
15 mile = $2 x 15
= $30
total amount = $10 + $30
= $40
Given:
Participation amount = $10
Every mile walked = $2
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Question A) Find the total donation if she walked for 15 miles
1 mile = $2
15 miles = $2 x 15
15 miles = $30
Total donation = 10 + 30
Total donation = $40
Her mother will donate $40
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Question B) Which an equation for P
P = total amount donated
M = Miles walked
P(M) = 10 + 2M
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Question C) Number of miles walked if the total donation is $44
P(M) = 10 + 2M
If P(M) = 44
⇒ 10 + 2M = 44
⇒ 2M = 34
⇒ M = 17 miles
She walked for 17 miles
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Question D) Greatest number of miles if the total amount does not exceed $65:
P(M) ≤ $65
⇒ 10 + 2M ≤ 65
⇒ 2M ≤ 55
⇒ M ≤ 27.5
She can walked a maximum of 27 miles.
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